Check Full Chapter Explained - Continuity and Differentiability - Application of Derivatives (AOD) Class 12

Last updated at Jan. 7, 2020 by Teachoo

Check Full Chapter Explained - Continuity and Differentiability - Application of Derivatives (AOD) Class 12

Transcript

Ex 6.1, 15 The total cost C(๐ฅ) in Rupees associated with the production of ๐ฅ units of an item is given by ๐ถ(๐ฅ) = 0.007๐ฅ^3 โ 0.003๐ฅ2 + 15๐ฅ + 4000. Find the marginal cost when 17 units are produced. Since Marginal Cost is Rate of change in Total Cost w.r.t No of units produced Let MC be the marginal cost & C (๐ฅ) is the total cost & ๐ฅ be the number of units produced So, MC = ๐(๐ถ(๐ฅ))/๐๐ฅ โฆ(1) It is Given that total cost C(๐ฅ)=0.007๐ฅ^3โ0.003๐ฅ^2+15๐ฅ+4000 & we need to find Marginal cost when 17 units produced i.e. MC at ๐ฅ=17 Now MC = ๐(๐ถ(๐ฅ))/๐ฅ MC = ๐(0.007๐ฅ^3 โ 0.003๐ฅ^2 + 15๐ฅ + 4000)/๐๐ฅ MC = ๐(0.007๐ฅ^3 )/๐๐ฅ โ ๐(0.003๐ฅ^2 )/๐๐ฅ+ ๐(15๐ฅ)/๐๐ฅ+ ๐(4000)/๐๐ฅ MC = 0.007 ๐(๐ฅ^3 )/๐๐ฅ โ0.003 ๐(๐ฅ^2 )/๐๐ฅ +15๐(๐ฅ)/๐๐ฅ+0 MC = 0.007 ร 3๐ฅ^2โ0.003 ร2๐ฅ+15 MC = 0.021๐ฅ^2โ0.006๐ฅ+15 We need to find MC when ๐ฅ=17 Putting ๐ฅ=17 MC = 0.021(17)^2โ0.006(17)+15 MC = 6.069 โ 0.102 + 15 MC = 20.967 Hence the Required Marginal cost is Rs. 20.967 when ๐ฅ=17

Ex 6.1

Ex 6.1, 1
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Ex 6.1,2 Not in Syllabus - CBSE Exams 2021

Ex 6.1,3 Not in Syllabus - CBSE Exams 2021

Ex 6.1,4 Important Not in Syllabus - CBSE Exams 2021

Ex 6.1,5 Important Not in Syllabus - CBSE Exams 2021

Ex 6.1,6 Not in Syllabus - CBSE Exams 2021

Ex 6.1,7 Not in Syllabus - CBSE Exams 2021

Ex 6.1,8 Not in Syllabus - CBSE Exams 2021

Ex 6.1,9 Not in Syllabus - CBSE Exams 2021

Ex 6.1,10 Important Not in Syllabus - CBSE Exams 2021

Ex 6.1,11 Important Not in Syllabus - CBSE Exams 2021

Ex 6.1,12 Not in Syllabus - CBSE Exams 2021

Ex 6.1,13 Important Not in Syllabus - CBSE Exams 2021

Ex 6.1,14 Not in Syllabus - CBSE Exams 2021

Ex 6.1,15 Important Not in Syllabus - CBSE Exams 2021 You are here

Ex 6.1,16 Not in Syllabus - CBSE Exams 2021

Ex 6.1,17 Not in Syllabus - CBSE Exams 2021

Ex 6.1, 18 Not in Syllabus - CBSE Exams 2021

Chapter 6 Class 12 Application of Derivatives

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.